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Finding the Fourth Proportional to 228,306.69, 342,456.45 and 78,548.28

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Solution

The fourth proportional to 228,306.69, 342,456.45 and 78,548.28 is: 117,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,306.69 : 342,456.45 = 78,548.28 : x
  2. Step 2: Convert to fraction form
    228,306.69/342,456.45 = 78,548.28/x
  3. Step 3: Cross multiply
    228,306.69x = 342,456.45 × 78,548.28
  4. Step 4: Simplify right side
    228,306.69x = 26,899,365,122.41
  5. Step 5: Solve for x
    x = 26,899,365,122.41/228,306.69
  6. Step 6: Final answer
    x = 117,821.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.